Pith Number

pith:TW2F4M45

pith:2001:TW2F4M45QNS5EQGSTVXUBA2ES7

not attested not anchored not stored refs pending

The Asymmetric One-Dimensional Constrained Ising Model

David Aldous, Persi Diaconis

arxiv:math/0110023 v1 · 2001-10-01 · math.PR · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TW2F4M45QNS5EQGSTVXUBA2ES7}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:38:29.822417Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9db45e339d8365d240d29d6f40834497da2bacc3ecba4c234a664163767ee437

Aliases

arxiv: math/0110023 · arxiv_version: math/0110023v1 · doi: 10.48550/arxiv.math/0110023 · pith_short_12: TW2F4M45QNS5 · pith_short_16: TW2F4M45QNS5EQGS · pith_short_8: TW2F4M45

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/TW2F4M45QNS5EQGSTVXUBA2ES7 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 9db45e339d8365d240d29d6f40834497da2bacc3ecba4c234a664163767ee437

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "488796aaa31cb88311e3648b72d876460ddb528cfb4a16f68bf2c7fdd718a04d",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2001-10-01T20:43:13Z",
    "title_canon_sha256": "5a33d525968472bc43b359b0d01118db1179d76cabe6c1b9f47684ee730ffc78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0110023",
    "kind": "arxiv",
    "version": 1
  }
}